There are a few "cute" kids cameras on Amazon. The Fisher Price Kid Tough Digital Camera for Girls retails for $141.99. You're lucky she's a girl! The (same?) camera in blue is $157.99. Of course, the blue camera also comes with 20 free prints. AND, the blue cameras 8MP built in memory holds sixty 640x480 pictures. The girls version only holds fifty 640x480 pictures on its 8MP internal memory. 😛
Huge range in prices for the kids cameras. Personally, I've found that when you give a kid a useful object that looks like a toy, they treat it like a toy. If you give them something that looks more like the grown-up version, they tend to treat it a little bit better. I'd go with a used 3MP camera; Canon, Nikon, or Fuji (I'm sure there are some other equally valid suggestions for used cameras.) That is, if your daughter would be able to treat it carefully enough.
Just a glance through ebay, I saw quite a few used Fuji FinePix cameras. As I had an old one, 1.3MP, I think, I just narrowed the search down to those (out of the 10's of thousands of cameras on ebay.) Watch out for non-working cameras; read the descriptions carefully!